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Finding the Fourth Proportional to 291,642.75, 402,467 and 157,506.75

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Solution

The fourth proportional to 291,642.75, 402,467 and 157,506.75 is: 217,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,642.75 : 402,467 = 157,506.75 : x
  2. Step 2: Convert to fraction form
    291,642.75/402,467 = 157,506.75/x
  3. Step 3: Cross multiply
    291,642.75x = 402,467 × 157,506.75
  4. Step 4: Simplify right side
    291,642.75x = 63,391,269,152.25
  5. Step 5: Solve for x
    x = 63,391,269,152.25/291,642.75
  6. Step 6: Final answer
    x = 217,359.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.